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Finding the Fourth Proportional to 30,992.48, 46,406.16 and 17,825.12

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Solution

The fourth proportional to 30,992.48, 46,406.16 and 17,825.12 is: 26,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.48 : 46,406.16 = 17,825.12 : x
  2. Step 2: Convert to fraction form
    30,992.48/46,406.16 = 17,825.12/x
  3. Step 3: Cross multiply
    30,992.48x = 46,406.16 × 17,825.12
  4. Step 4: Simplify right side
    30,992.48x = 827,195,370.74
  5. Step 5: Solve for x
    x = 827,195,370.74/30,992.48
  6. Step 6: Final answer
    x = 26,690.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.